Computing IGA-suitable planar parameterizations by PolySquare-enhanced domain partition
We propose an algorithm for computing injective IGA-suitable planar parameterizations with as uniform and orthogonal as possible iso-parametric structure. Central to this approach is a PolySquare-enhanced domain partition procedure that decomposes the input complex planar domain into coarse and squa...
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| Vydáno v: | Computer aided geometric design Ročník 62; s. 29 - 43 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.05.2018
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| ISSN: | 0167-8396, 1879-2332 |
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| Abstract | We propose an algorithm for computing injective IGA-suitable planar parameterizations with as uniform and orthogonal as possible iso-parametric structure. Central to this approach is a PolySquare-enhanced domain partition procedure that decomposes the input complex planar domain into coarse and square-like quad patches. First, we triangulate the input planar domain that may be multiply connected, and deform it to be a PolySquare-like structure by optimizing a boundary alignment energy. Then, the PolySquare-like structure is pixelated to make the input domain be a quadrilateral mesh that is decimated to generate a coarse patch layout, where each patch is an approximately squared quadrilateral. Finally, the sparse patches are subdivided to represent the input domain and produce the resulting partition. We parameterize each patch with continuous constraints to find the parameterization of the input domain. Compared with existing IGA-suitable planar parameterization methods, our method produces better parameterizations and fewer patches than the ones that also use domain partition strategy. We demonstrate the superiority of our method over various complex domains, including an example containing 30 holes. |
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| AbstractList | We propose an algorithm for computing injective IGA-suitable planar parameterizations with as uniform and orthogonal as possible iso-parametric structure. Central to this approach is a PolySquare-enhanced domain partition procedure that decomposes the input complex planar domain into coarse and square-like quad patches. First, we triangulate the input planar domain that may be multiply connected, and deform it to be a PolySquare-like structure by optimizing a boundary alignment energy. Then, the PolySquare-like structure is pixelated to make the input domain be a quadrilateral mesh that is decimated to generate a coarse patch layout, where each patch is an approximately squared quadrilateral. Finally, the sparse patches are subdivided to represent the input domain and produce the resulting partition. We parameterize each patch with continuous constraints to find the parameterization of the input domain. Compared with existing IGA-suitable planar parameterization methods, our method produces better parameterizations and fewer patches than the ones that also use domain partition strategy. We demonstrate the superiority of our method over various complex domains, including an example containing 30 holes. |
| Author | Chen, Falai Kang, Hongmei Xiao, Shiwei Fu, Xiao-Ming |
| Author_xml | – sequence: 1 givenname: Shiwei surname: Xiao fullname: Xiao, Shiwei organization: School of Mathematical Sciences, University of Science and Technology of China, China – sequence: 2 givenname: Hongmei surname: Kang fullname: Kang, Hongmei email: khm@suda.edu.cn organization: School of Mathematical Sciences, Soochow University, China – sequence: 3 givenname: Xiao-Ming surname: Fu fullname: Fu, Xiao-Ming email: fuxm@ustc.edu.cn organization: School of Mathematical Sciences, University of Science and Technology of China, China – sequence: 4 givenname: Falai surname: Chen fullname: Chen, Falai organization: School of Mathematical Sciences, University of Science and Technology of China, China |
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| Cites_doi | 10.1016/j.cad.2016.05.019 10.1016/j.cma.2010.03.005 10.1016/j.cma.2009.09.010 10.1016/j.cad.2013.08.030 10.1111/cgf.13045 10.1016/j.cma.2016.07.035 10.1016/j.cagd.2008.09.008 10.1111/cgf.12710 10.1016/j.cma.2012.01.014 10.1016/j.cma.2004.10.008 10.1145/2461912.2462014 10.1016/j.cagd.2017.02.012 10.1016/j.matcom.2015.05.008 10.1145/2601097.2601227 10.1016/S0045-7825(03)00299-8 10.1111/j.1467-8659.2007.01060.x 10.1145/1531326.1531383 10.1016/j.cad.2017.04.002 10.1016/j.jcp.2013.06.029 10.1016/j.cad.2011.05.007 10.1016/j.cma.2013.09.019 10.2528/PIERB12091308 10.1111/cgf.12401 10.1016/j.cad.2013.08.018 10.1111/j.1467-8659.2011.01868.x 10.1016/j.cma.2008.05.003 10.1016/j.cma.2008.01.025 10.1017/S096249291400004X 10.1016/j.cagd.2015.03.014 10.1016/j.cam.2015.03.024 10.1016/j.cma.2017.08.052 10.1016/j.cad.2012.10.022 10.1007/s00466-012-0787-6 10.1016/j.cma.2014.09.026 10.1016/j.cma.2011.03.005 10.1145/2766938 10.1016/j.cma.2007.07.005 10.1007/s11425-015-5063-8 10.1016/j.cma.2005.09.027 10.1016/j.cma.2011.07.004 10.1007/s00466-014-1060-y 10.1145/2185520.2185606 10.1111/cgf.12014 10.1111/cgf.13153 10.1016/j.cad.2016.08.008 |
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| Keywords | Isogeometric analysis PolySquare Domain partition Preconditioned Accelerated Proximal Gradient Injectivity Analysis-suitable planar parameterization |
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| References | Daniels, Silva, Shepherd, Cohen (br0190) 2008; 27 Fu, Bai, Liu (br0230) 2016; 35 Escobar, Rodríguez, Montenegro, Montero, González-Yuste (br0210) 2003; 192 Schoenberg, Whitney (br0430) 1953; 74 Falini, Špeh, Jüttler (br0220) 2015; 35 Qian (br0400) 2010; 199 Nguyen, Anitescu, Bordas, Rabczuk (br0360) 2015; 117 Xu, Mourrain, Duvigneau, Galligo (br0530) 2011; 200 Campen, Kobbelt (br0110) 2014; 33 Zhang, Wang, Hughes (br0600) 2012; 249 Aigner, Heinrich, Jüttler, Pilgerstorfer, Simeon, Vuong (br0010) 2009; vol. 5654 Cottrell, Reali, Bazilevs, Hughes (br0140) 2006; 195 Pietroni, Puppo, Marcias, Scopigno, Cignoni (br0380) 2016; 35 Chan, Anitescu, Rabczuk (br0120) 2017; 82 Xu, Mourrain, Duvigneau, Galligo (br0550) 2013; 45 Xu, Chen, Deng (br0580) 2015; 284 Xu, Mourrain, Duvigneau, Galligo (br0560) 2013; 252 Fu, Liu (br0240) 2016; 35 Li, Chen, Kang, Deng (br0320) 2016; 59 Xu, Li, Mourrain, Rabczuk, Xu, Bordas (br0520) 2018; 328 Zhang, Wang, Hughes (br0610) 2013; 51 Bommes, Lempfer, Kobbelt (br0040) 2011; 30 Razaflndrazaka, Reitebuch, Polthier (br0420) 2015; 34 Tarini, Pietroni, Cignoni, Panozzo, Puppo (br0450) 2010; 29 Auricchio, ao da Veiga, Buffa, Lovadina, Reali, Sangalli (br0020) 2007; 197 Bommes, Campen, Ebke, Alliez, Kobbelt (br0030) 2013; 32 Pilgerstorfer, Jüttler (br0390) 2014; 268 Tutte (br0470) 1963; 13 Campen, Bommes, Kobbelt (br0100) 2015; 34 Speleers, Manni (br0440) 2015; 289 Campen, Bommes, Kobbelt (br0090) 2012; 31 Tarini, Puppo, Panozzo, Pietroni, Cignoni (br0460) 2011; 30 Campen (br0080) 2017; 36 Nguyen, Evgrafov, Gravesen (br0350) 2012; 45 Cohen, Martin, Kirby, Lyche, Riesenfeld (br0130) 2010; 199 Buchegger, Jüttler (br0070) 2017; 82 Cottrell, Hughes, Bazilevs (br0150) 2009 Nian, Chen (br0370) 2016; 311 Bommes, Zimmer, Kobbelt (br0060) 2009; 28 Xu, Mourrain, Galligo, Rabczuk (br0570) 2014; 54 Xu, Mourrain, Duvigneau, Galligo (br0540) 2013; 45 Weber, Zorin (br0500) 2014; 33 Garland, Heckbert (br0270) 1997 Gómez, Calo, Bazilevs, Hughes (br0280) 2008; 197 Martin, Cohen, Kirby (br0330) 2009; 26 Wang, Qian (br0490) 2014; 46 Li, Lin (br0310) 2015 da Veiga, Buffa, Sangalli, Vázquez (br0160) 2014; 23 Hughes, Cottrell, Bazilevs (br0290) 2005; 194 Kälberer, Nieser, Polthier (br0300) 2007; 26 Wall, Frenzel, Cyron (br0480) 2008; 197 Fu, Liu, Snyder, Guo (br0260) 2014; 33 Yu, Zhang, Wan, Li (br0590) 2014; 46 Daniels, Silva, Cohen (br0180) 2009; 28 Escobar, Cascón, Rodríguez, Montenegro (br0200) 2011; 200 Bommes, Lévy, Pietroni, Puppo, Silva, Tarini, Zorin (br0050) 2013; 32 Fu, Liu, Guo (br0250) 2015; 34 Massarwi, van Sosin, Elber (br0340) 2017 Razafindrazaka, Polthier (br0410) 2017; 52–53 Xu, Kwok, Wang (br0510) 2017; 91 Daniels, Silva, Cohen (br0170) 2009; 28 Massarwi (10.1016/j.cagd.2018.03.008_br0340) 2017 Weber (10.1016/j.cagd.2018.03.008_br0500) 2014; 33 Tarini (10.1016/j.cagd.2018.03.008_br0450) 2010; 29 Bommes (10.1016/j.cagd.2018.03.008_br0060) 2009; 28 Fu (10.1016/j.cagd.2018.03.008_br0250) 2015; 34 Zhang (10.1016/j.cagd.2018.03.008_br0610) 2013; 51 Razafindrazaka (10.1016/j.cagd.2018.03.008_br0410) 2017; 52–53 Xu (10.1016/j.cagd.2018.03.008_br0540) 2013; 45 Aigner (10.1016/j.cagd.2018.03.008_br0010) 2009; vol. 5654 Cottrell (10.1016/j.cagd.2018.03.008_br0150) 2009 Razaflndrazaka (10.1016/j.cagd.2018.03.008_br0420) 2015; 34 Bommes (10.1016/j.cagd.2018.03.008_br0040) 2011; 30 Wang (10.1016/j.cagd.2018.03.008_br0490) 2014; 46 Schoenberg (10.1016/j.cagd.2018.03.008_br0430) 1953; 74 Fu (10.1016/j.cagd.2018.03.008_br0230) 2016; 35 Li (10.1016/j.cagd.2018.03.008_br0310) 2015 Xu (10.1016/j.cagd.2018.03.008_br0580) 2015; 284 Daniels (10.1016/j.cagd.2018.03.008_br0180) 2009; 28 Pilgerstorfer (10.1016/j.cagd.2018.03.008_br0390) 2014; 268 Nguyen (10.1016/j.cagd.2018.03.008_br0350) 2012; 45 Li (10.1016/j.cagd.2018.03.008_br0320) 2016; 59 Daniels (10.1016/j.cagd.2018.03.008_br0170) 2009; 28 Buchegger (10.1016/j.cagd.2018.03.008_br0070) 2017; 82 Bommes (10.1016/j.cagd.2018.03.008_br0050) 2013; 32 Nguyen (10.1016/j.cagd.2018.03.008_br0360) 2015; 117 Xu (10.1016/j.cagd.2018.03.008_br0570) 2014; 54 Martin (10.1016/j.cagd.2018.03.008_br0330) 2009; 26 Cottrell (10.1016/j.cagd.2018.03.008_br0140) 2006; 195 Bommes (10.1016/j.cagd.2018.03.008_br0030) 2013; 32 Garland (10.1016/j.cagd.2018.03.008_br0270) 1997 Xu (10.1016/j.cagd.2018.03.008_br0530) 2011; 200 Auricchio (10.1016/j.cagd.2018.03.008_br0020) 2007; 197 Gómez (10.1016/j.cagd.2018.03.008_br0280) 2008; 197 Wall (10.1016/j.cagd.2018.03.008_br0480) 2008; 197 Campen (10.1016/j.cagd.2018.03.008_br0080) 2017; 36 Escobar (10.1016/j.cagd.2018.03.008_br0200) 2011; 200 Nian (10.1016/j.cagd.2018.03.008_br0370) 2016; 311 Fu (10.1016/j.cagd.2018.03.008_br0240) 2016; 35 Daniels (10.1016/j.cagd.2018.03.008_br0190) 2008; 27 Xu (10.1016/j.cagd.2018.03.008_br0560) 2013; 252 Xu (10.1016/j.cagd.2018.03.008_br0520) 2018; 328 Zhang (10.1016/j.cagd.2018.03.008_br0600) 2012; 249 Pietroni (10.1016/j.cagd.2018.03.008_br0380) 2016; 35 Kälberer (10.1016/j.cagd.2018.03.008_br0300) 2007; 26 Speleers (10.1016/j.cagd.2018.03.008_br0440) 2015; 289 Fu (10.1016/j.cagd.2018.03.008_br0260) 2014; 33 Xu (10.1016/j.cagd.2018.03.008_br0550) 2013; 45 Campen (10.1016/j.cagd.2018.03.008_br0110) 2014; 33 Cohen (10.1016/j.cagd.2018.03.008_br0130) 2010; 199 Chan (10.1016/j.cagd.2018.03.008_br0120) 2017; 82 Xu (10.1016/j.cagd.2018.03.008_br0510) 2017; 91 Falini (10.1016/j.cagd.2018.03.008_br0220) 2015; 35 Campen (10.1016/j.cagd.2018.03.008_br0090) 2012; 31 da Veiga (10.1016/j.cagd.2018.03.008_br0160) 2014; 23 Yu (10.1016/j.cagd.2018.03.008_br0590) 2014; 46 Campen (10.1016/j.cagd.2018.03.008_br0100) 2015; 34 Escobar (10.1016/j.cagd.2018.03.008_br0210) 2003; 192 Hughes (10.1016/j.cagd.2018.03.008_br0290) 2005; 194 Qian (10.1016/j.cagd.2018.03.008_br0400) 2010; 199 Tarini (10.1016/j.cagd.2018.03.008_br0460) 2011; 30 Tutte (10.1016/j.cagd.2018.03.008_br0470) 1963; 13 |
| References_xml | – volume: 59 start-page: 617 year: 2016 end-page: 644 ident: br0320 article-title: A survey on the local refinable splines publication-title: Sci. China Math. – volume: 28 year: 2009 ident: br0180 article-title: Semi-regular quadrilateral-only remeshing from simplified base domains publication-title: Comput. Graph. Forum (SGP) – volume: 54 start-page: 1303 year: 2014 end-page: 1313 ident: br0570 article-title: High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods publication-title: Comput. Mech. – volume: 195 start-page: 5257 year: 2006 end-page: 5296 ident: br0140 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Eng. – volume: 82 start-page: 2 year: 2017 end-page: 12 ident: br0070 article-title: Planar multi-patch domain parameterization via patch adjacency graphs publication-title: Comput. Aided Des. – volume: 91 start-page: 1 year: 2017 end-page: 13 ident: br0510 article-title: Isogeometric computation reuse method for complex objects with topology-consistent volumetric parameterization publication-title: Comput. Aided Des. – volume: 51 start-page: 1051 year: 2013 end-page: 1059 ident: br0610 article-title: Conformal solid T-spline construction from boundary T-spline representations publication-title: Comput. Mech. – volume: 82 start-page: 29 year: 2017 end-page: 41 ident: br0120 article-title: Volumetric parametrization from a level set boundary representation with PHT-splines publication-title: Comput. Aided Des. – volume: 35 year: 2016 ident: br0240 article-title: Computing inversion-free mappings by simplex assembly publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 45 start-page: 812 year: 2013 end-page: 821 ident: br0540 article-title: Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis publication-title: Comput. Aided Des. – start-page: 379 year: 2015 end-page: 387 ident: br0310 article-title: Accelerated proximal gradient methods for nonconvex programming publication-title: Advances in Neural Information Processing Systems – volume: 32 start-page: 98:1 year: 2013 end-page: 98:12 ident: br0030 article-title: Integer-grid maps for reliable quad meshing publication-title: ACM Trans. Graph. (SIGGRAPH) – volume: 23 start-page: 157 year: 2014 end-page: 287 ident: br0160 article-title: Mathematical analysis of variational isogeometric methods publication-title: Acta Numer. – volume: 33 start-page: 182:1 year: 2014 end-page: 182:11 ident: br0260 article-title: Anisotropic simplicial meshing using local convex functions publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – year: 2009 ident: br0150 article-title: Isogeometric Analysis: Toward Integration of CAD and FEA – volume: 29 year: 2010 ident: br0450 article-title: Practical quad mesh simplification publication-title: Comput. Graph. Forum (EG) – volume: 31 start-page: 110:1 year: 2012 end-page: 110:11 ident: br0090 article-title: Dual loops meshing: quality quad layouts on manifolds publication-title: ACM Trans. Graph. (SIGGRAPH) – volume: 30 start-page: 142:1 year: 2011 end-page: 142:12 ident: br0460 article-title: Simple quad domains for field aligned mesh parametrization publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 249 start-page: 185 year: 2012 end-page: 197 ident: br0600 article-title: Solid T-spline construction from boundary representations for genus-zero geometry publication-title: Comput. Methods Appl. Mech. Eng. – volume: 46 start-page: 179 year: 2014 end-page: 191 ident: br0490 article-title: An optimization approach for constructing trivariate B-spline solids publication-title: Comput. Aided Des. – start-page: 209 year: 1997 end-page: 216 ident: br0270 article-title: Surface simplification using quadric error metrics publication-title: Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques – volume: 34 start-page: 219 year: 2015 end-page: 228 ident: br0420 article-title: Perfect matching quad layouts for manifold meshes publication-title: Comput. Graph. Forum (SGP) – volume: 200 start-page: 3210 year: 2011 end-page: 3222 ident: br0200 article-title: A new approach to solid modeling with trivariate T-splines based on mesh optimization publication-title: Comput. Methods Appl. Mech. Eng. – volume: 289 start-page: 68 year: 2015 end-page: 86 ident: br0440 article-title: Optimizing domain parameterization in isogeometric analysis based on Powell–Sabin splines publication-title: J. Comput. Appl. Math. – volume: 328 start-page: 175 year: 2018 end-page: 200 ident: br0520 article-title: Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization publication-title: Comput. Methods Appl. Mech. Eng. – volume: 26 start-page: 648 year: 2009 end-page: 664 ident: br0330 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aided Geom. Des. – volume: 284 start-page: 541 year: 2015 end-page: 555 ident: br0580 article-title: Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. – volume: 33 start-page: 69 year: 2014 end-page: 81 ident: br0110 article-title: Quad layout embedding via aligned parameterization publication-title: Comput. Graph. Forum – volume: 200 start-page: 2021 year: 2011 end-page: 2031 ident: br0530 article-title: Parameterization of computational domain in isogeometric analysis: methods and comparison publication-title: Comput. Methods Appl. Mech. Eng. – volume: 27 year: 2008 ident: br0190 article-title: Quadrilateral mesh simplification publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 35 start-page: 485 year: 2016 end-page: 496 ident: br0380 publication-title: Comput. Graph. Forum (PG) – volume: 34 start-page: 71:1 year: 2015 end-page: 71:12 ident: br0250 article-title: Computing locally injective mappings by advanced MIPS publication-title: ACM Trans. Graph. (SIGGRAPH) – volume: 311 start-page: 41 year: 2016 end-page: 55 ident: br0370 article-title: Planar domain parameterization for isogeometric analysis based on Teichmüller mapping publication-title: Comput. Methods Appl. Mech. Eng. – volume: 197 start-page: 2976 year: 2008 end-page: 2988 ident: br0480 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Eng. – volume: 36 start-page: 567 year: 2017 end-page: 588 ident: br0080 article-title: Partitioning surfaces into quadrilateral patches: a survey publication-title: Comput. Graph. Forum – volume: 45 start-page: 395 year: 2013 end-page: 404 ident: br0550 article-title: Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications publication-title: Comput. Aided Des. – volume: 34 start-page: 192:1 year: 2015 end-page: 192:12 ident: br0100 article-title: Quantized global parametrization publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 45 start-page: 117 year: 2012 end-page: 146 ident: br0350 article-title: Isogeometric shape optimization for electromagnetic scattering problems publication-title: Prog. Electromagn. Res. B – volume: 28 year: 2009 ident: br0170 article-title: Localized quadrilateral coarsening publication-title: Comput. Graph. Forum (SGP) – volume: 199 start-page: 334 year: 2010 end-page: 356 ident: br0130 article-title: Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. – volume: 268 start-page: 589 year: 2014 end-page: 613 ident: br0390 article-title: Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. – year: 2017 ident: br0340 article-title: Untrimming: precise conversion of trimmed-surfaces to tensor-product surfaces publication-title: Comput. Graph. – volume: 74 start-page: 246 year: 1953 end-page: 259 ident: br0430 article-title: On Pólya frequency functions. III: The positivity of translation determinants with an application to the interpolation problem by spline curves publication-title: Trans. Am. Math. Soc. – volume: 46 start-page: 58 year: 2014 end-page: 68 ident: br0590 article-title: Optimizing polycube domain construction for hexahedral remeshing publication-title: Comput. Aided Des. – volume: 33 start-page: 75:1 year: 2014 end-page: 75:12 ident: br0500 article-title: Locally injective parametrization with arbitrary fixed boundaries publication-title: ACM Trans. Graph. (SIGGRAPH) – volume: 13 start-page: 747 year: 1963 end-page: 767 ident: br0470 article-title: How to draw a graph publication-title: Proc. Lond. Math. Soc. – volume: 197 start-page: 160 year: 2007 end-page: 172 ident: br0020 article-title: A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation publication-title: Comput. Methods Appl. Mech. Eng. – volume: 192 start-page: 2775 year: 2003 end-page: 2787 ident: br0210 article-title: Simultaneous untangling and smoothing of tetrahedral meshes publication-title: Comput. Methods Appl. Mech. Eng. – volume: 52–53 start-page: 63 year: 2017 end-page: 74 ident: br0410 article-title: Optimal base complexes for quadrilateral meshes publication-title: Comput. Aided Geom. Des. – volume: 28 start-page: 77:1 year: 2009 end-page: 77:10 ident: br0060 article-title: Mixed-integer quadrangulation publication-title: ACM Trans. Graph. (SIGGRAPH) – volume: 26 start-page: 375 year: 2007 end-page: 384 ident: br0300 article-title: QuadCover-surface parameterization using branched coverings publication-title: Comput. Graph. Forum (SGP) – volume: 35 year: 2016 ident: br0230 article-title: Efficient volumetric PolyCube-map construction publication-title: Comput. Graph. Forum (PG) – volume: vol. 5654 start-page: 19 year: 2009 end-page: 44 ident: br0010 article-title: Swept volume parameterization for isogeometric analysis publication-title: The Mathematics of Surfaces (MoS XIII 2009) – volume: 252 start-page: 275 year: 2013 end-page: 289 ident: br0560 article-title: Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method publication-title: J. Comput. Phys. – volume: 117 start-page: 89 year: 2015 end-page: 116 ident: br0360 article-title: Isogeometric analysis: an overview and computer implementation aspects publication-title: Math. Comput. Simul. – volume: 35 start-page: 95 year: 2015 end-page: 108 ident: br0220 article-title: Planar domain parameterization with THB-splines publication-title: Comput. Aided Geom. Des. – volume: 199 start-page: 2059 year: 2010 end-page: 2071 ident: br0400 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Eng. – volume: 32 start-page: 51 year: 2013 end-page: 76 ident: br0050 article-title: Quad-mesh generation and processing: a survey publication-title: Comput. Graph. Forum – volume: 197 start-page: 4333 year: 2008 end-page: 4352 ident: br0280 article-title: Isogeometric analysis of the Cahn–Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Eng. – volume: 30 start-page: 375 year: 2011 end-page: 384 ident: br0040 article-title: Global structure optimization of quadrilateral meshes publication-title: Comput. Graph. Forum (EG) – volume: 194 start-page: 4135 year: 2005 end-page: 4195 ident: br0290 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: Comput. Methods Appl. Mech. Eng. – volume: 27 year: 2008 ident: 10.1016/j.cagd.2018.03.008_br0190 article-title: Quadrilateral mesh simplification publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 28 year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0170 article-title: Localized quadrilateral coarsening publication-title: Comput. Graph. Forum (SGP) – volume: 82 start-page: 2 year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0070 article-title: Planar multi-patch domain parameterization via patch adjacency graphs publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2016.05.019 – volume: 199 start-page: 2059 issue: 29 year: 2010 ident: 10.1016/j.cagd.2018.03.008_br0400 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2010.03.005 – volume: 199 start-page: 334 issue: 5 year: 2010 ident: 10.1016/j.cagd.2018.03.008_br0130 article-title: Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2009.09.010 – volume: 46 start-page: 179 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0490 article-title: An optimization approach for constructing trivariate B-spline solids publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2013.08.030 – volume: 35 start-page: 485 issue: 7 year: 2016 ident: 10.1016/j.cagd.2018.03.008_br0380 publication-title: Comput. Graph. Forum (PG) doi: 10.1111/cgf.13045 – volume: 35 issue: 6 year: 2016 ident: 10.1016/j.cagd.2018.03.008_br0240 article-title: Computing inversion-free mappings by simplex assembly publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 29 year: 2010 ident: 10.1016/j.cagd.2018.03.008_br0450 article-title: Practical quad mesh simplification publication-title: Comput. Graph. Forum (EG) – volume: 74 start-page: 246 issue: 1 year: 1953 ident: 10.1016/j.cagd.2018.03.008_br0430 article-title: On Pólya frequency functions. III: The positivity of translation determinants with an application to the interpolation problem by spline curves publication-title: Trans. Am. Math. Soc. – volume: 311 start-page: 41 year: 2016 ident: 10.1016/j.cagd.2018.03.008_br0370 article-title: Planar domain parameterization for isogeometric analysis based on Teichmüller mapping publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2016.07.035 – start-page: 379 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0310 article-title: Accelerated proximal gradient methods for nonconvex programming – volume: 26 start-page: 648 issue: 6 year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0330 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aided Geom. Des. doi: 10.1016/j.cagd.2008.09.008 – volume: 34 start-page: 219 issue: 5 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0420 article-title: Perfect matching quad layouts for manifold meshes publication-title: Comput. Graph. Forum (SGP) doi: 10.1111/cgf.12710 – volume: 249 start-page: 185 year: 2012 ident: 10.1016/j.cagd.2018.03.008_br0600 article-title: Solid T-spline construction from boundary representations for genus-zero geometry publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2012.01.014 – volume: 194 start-page: 4135 issue: 39 year: 2005 ident: 10.1016/j.cagd.2018.03.008_br0290 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2004.10.008 – volume: 32 start-page: 98:1 issue: 4 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0030 article-title: Integer-grid maps for reliable quad meshing publication-title: ACM Trans. Graph. (SIGGRAPH) doi: 10.1145/2461912.2462014 – volume: 52–53 start-page: 63 year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0410 article-title: Optimal base complexes for quadrilateral meshes publication-title: Comput. Aided Geom. Des. doi: 10.1016/j.cagd.2017.02.012 – volume: 117 start-page: 89 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0360 article-title: Isogeometric analysis: an overview and computer implementation aspects publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2015.05.008 – volume: 28 year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0180 article-title: Semi-regular quadrilateral-only remeshing from simplified base domains publication-title: Comput. Graph. Forum (SGP) – volume: 33 start-page: 75:1 issue: 4 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0500 article-title: Locally injective parametrization with arbitrary fixed boundaries publication-title: ACM Trans. Graph. (SIGGRAPH) doi: 10.1145/2601097.2601227 – volume: 192 start-page: 2775 year: 2003 ident: 10.1016/j.cagd.2018.03.008_br0210 article-title: Simultaneous untangling and smoothing of tetrahedral meshes publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(03)00299-8 – volume: 26 start-page: 375 issue: 3 year: 2007 ident: 10.1016/j.cagd.2018.03.008_br0300 article-title: QuadCover-surface parameterization using branched coverings publication-title: Comput. Graph. Forum (SGP) doi: 10.1111/j.1467-8659.2007.01060.x – volume: vol. 5654 start-page: 19 year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0010 article-title: Swept volume parameterization for isogeometric analysis – volume: 28 start-page: 77:1 issue: 3 year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0060 article-title: Mixed-integer quadrangulation publication-title: ACM Trans. Graph. (SIGGRAPH) doi: 10.1145/1531326.1531383 – volume: 91 start-page: 1 year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0510 article-title: Isogeometric computation reuse method for complex objects with topology-consistent volumetric parameterization publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2017.04.002 – volume: 252 start-page: 275 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0560 article-title: Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2013.06.029 – volume: 45 start-page: 812 issue: 4 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0540 article-title: Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2011.05.007 – start-page: 209 year: 1997 ident: 10.1016/j.cagd.2018.03.008_br0270 article-title: Surface simplification using quadric error metrics – volume: 268 start-page: 589 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0390 article-title: Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2013.09.019 – volume: 45 start-page: 117 year: 2012 ident: 10.1016/j.cagd.2018.03.008_br0350 article-title: Isogeometric shape optimization for electromagnetic scattering problems publication-title: Prog. Electromagn. Res. B doi: 10.2528/PIERB12091308 – volume: 33 start-page: 69 issue: 8 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0110 article-title: Quad layout embedding via aligned parameterization publication-title: Comput. Graph. Forum doi: 10.1111/cgf.12401 – volume: 46 start-page: 58 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0590 article-title: Optimizing polycube domain construction for hexahedral remeshing publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2013.08.018 – year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0340 article-title: Untrimming: precise conversion of trimmed-surfaces to tensor-product surfaces publication-title: Comput. Graph. – volume: 30 start-page: 375 issue: 2 year: 2011 ident: 10.1016/j.cagd.2018.03.008_br0040 article-title: Global structure optimization of quadrilateral meshes publication-title: Comput. Graph. Forum (EG) doi: 10.1111/j.1467-8659.2011.01868.x – volume: 197 start-page: 4333 issue: 49 year: 2008 ident: 10.1016/j.cagd.2018.03.008_br0280 article-title: Isogeometric analysis of the Cahn–Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2008.05.003 – volume: 197 start-page: 2976 issue: 33 year: 2008 ident: 10.1016/j.cagd.2018.03.008_br0480 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2008.01.025 – volume: 34 start-page: 192:1 issue: 6 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0100 article-title: Quantized global parametrization publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 23 start-page: 157 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0160 article-title: Mathematical analysis of variational isogeometric methods publication-title: Acta Numer. doi: 10.1017/S096249291400004X – volume: 35 issue: 7 year: 2016 ident: 10.1016/j.cagd.2018.03.008_br0230 article-title: Efficient volumetric PolyCube-map construction publication-title: Comput. Graph. Forum (PG) – volume: 35 start-page: 95 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0220 article-title: Planar domain parameterization with THB-splines publication-title: Comput. Aided Geom. Des. doi: 10.1016/j.cagd.2015.03.014 – volume: 289 start-page: 68 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0440 article-title: Optimizing domain parameterization in isogeometric analysis based on Powell–Sabin splines publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2015.03.024 – year: 2009 ident: 10.1016/j.cagd.2018.03.008_br0150 – volume: 328 start-page: 175 year: 2018 ident: 10.1016/j.cagd.2018.03.008_br0520 article-title: Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2017.08.052 – volume: 30 start-page: 142:1 issue: 6 year: 2011 ident: 10.1016/j.cagd.2018.03.008_br0460 article-title: Simple quad domains for field aligned mesh parametrization publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 45 start-page: 395 issue: 2 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0550 article-title: Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2012.10.022 – volume: 51 start-page: 1051 issue: 6 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0610 article-title: Conformal solid T-spline construction from boundary T-spline representations publication-title: Comput. Mech. doi: 10.1007/s00466-012-0787-6 – volume: 284 start-page: 541 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0580 article-title: Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2014.09.026 – volume: 13 start-page: 747 year: 1963 ident: 10.1016/j.cagd.2018.03.008_br0470 article-title: How to draw a graph publication-title: Proc. Lond. Math. Soc. – volume: 200 start-page: 2021 issue: 23 year: 2011 ident: 10.1016/j.cagd.2018.03.008_br0530 article-title: Parameterization of computational domain in isogeometric analysis: methods and comparison publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2011.03.005 – volume: 34 start-page: 71:1 issue: 4 year: 2015 ident: 10.1016/j.cagd.2018.03.008_br0250 article-title: Computing locally injective mappings by advanced MIPS publication-title: ACM Trans. Graph. (SIGGRAPH) doi: 10.1145/2766938 – volume: 197 start-page: 160 issue: 1 year: 2007 ident: 10.1016/j.cagd.2018.03.008_br0020 article-title: A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2007.07.005 – volume: 59 start-page: 617 issue: 4 year: 2016 ident: 10.1016/j.cagd.2018.03.008_br0320 article-title: A survey on the local refinable splines publication-title: Sci. China Math. doi: 10.1007/s11425-015-5063-8 – volume: 195 start-page: 5257 issue: 41 year: 2006 ident: 10.1016/j.cagd.2018.03.008_br0140 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2005.09.027 – volume: 200 start-page: 3210 issue: 45 year: 2011 ident: 10.1016/j.cagd.2018.03.008_br0200 article-title: A new approach to solid modeling with trivariate T-splines based on mesh optimization publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2011.07.004 – volume: 54 start-page: 1303 issue: 5 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0570 article-title: High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods publication-title: Comput. Mech. doi: 10.1007/s00466-014-1060-y – volume: 31 start-page: 110:1 issue: 4 year: 2012 ident: 10.1016/j.cagd.2018.03.008_br0090 article-title: Dual loops meshing: quality quad layouts on manifolds publication-title: ACM Trans. Graph. (SIGGRAPH) doi: 10.1145/2185520.2185606 – volume: 32 start-page: 51 issue: 6 year: 2013 ident: 10.1016/j.cagd.2018.03.008_br0050 article-title: Quad-mesh generation and processing: a survey publication-title: Comput. Graph. Forum doi: 10.1111/cgf.12014 – volume: 36 start-page: 567 issue: 8 year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0080 article-title: Partitioning surfaces into quadrilateral patches: a survey publication-title: Comput. Graph. Forum doi: 10.1111/cgf.13153 – volume: 33 start-page: 182:1 issue: 6 year: 2014 ident: 10.1016/j.cagd.2018.03.008_br0260 article-title: Anisotropic simplicial meshing using local convex functions publication-title: ACM Trans. Graph. (SIGGRAPH ASIA) – volume: 82 start-page: 29 year: 2017 ident: 10.1016/j.cagd.2018.03.008_br0120 article-title: Volumetric parametrization from a level set boundary representation with PHT-splines publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2016.08.008 |
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| SubjectTerms | Analysis-suitable planar parameterization Domain partition Injectivity Isogeometric analysis PolySquare Preconditioned Accelerated Proximal Gradient |
| Title | Computing IGA-suitable planar parameterizations by PolySquare-enhanced domain partition |
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